RELATIVE STABILITY

In practical systems, it is not sufficient to know that the system is stable but a stable system must meet the specifications of relative stability which is a quantitative measure of how fast the transients die out in the system.

Relative stability of a system is usually defined in terms of two design parameters-phase margin and gain margin.

Phase margin is defined as the amount of additional phase lag at the gain cross-over frequency required to bring the system to the verge of instability. A negative phase margin is an indication of instability.

Gain margin is defined as the factor by which the system gain can be increased to drive it to the verge of instability. Gain margin is usually expressed in db and if it is negative, the system is unstable.

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